Question

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Part 1
Writing  Use long division to find the quotient. Use pencil and paper. Use multiplication​ and, if​ necessary, addition to check your answer. Explain when you would use addition along with multiplication to check your answer.
7 comma 889divided by19
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Part 1
Choose the correct answer below.

Answer 1

7889 ÷ 19 = 415 remainder 4.

Work (long division steps):
- 19 into 78 goes 4 times (4 × 19 = 76). Subtract: 78 − 76 = 2. Bring down the next digit 8 → 28.
- 19 into 28 goes 1 time (1 × 19 = 19). Subtract: 28 − 19 = 9. Bring down the next digit 9 → 99.
- 19 into 99 goes 5 times (5 × 19 = 95). Subtract: 99 − 95 = 4. No more digits to bring down, so remainder = 4.
Quotient = 415, remainder = 4 (written 415 R 4, or 415 + 4/19).

Check by multiplication and (if needed) addition:
- 19 × 415 = 7885. Since there is a remainder, add it: 7885 + 4 = 7889, which matches the original dividend.

When to use addition along with multiplication to check:
- Multiply the divisor by the quotient to get the product. If the division left a remainder, add that remainder to the product; the result should equal the original dividend. If there is no remainder, multiplication alone is sufficient.